References & Citations
Nonlinear Sciences > Exactly Solvable and Integrable Systems
Title: Linear Darboux polynomials for Lotka-Volterra systems, trees and superintegrable families
(Submitted on 1 Mar 2023 (v1), last revised 13 Jul 2023 (this version, v2))
Abstract: We present a method to construct superintegrable $n$-component Lotka-Volterra systems with $3n-2$ parameters. We apply the method to Lotka-Volterra systems with $n$ components for $1 < n < 6$, and present several $n$-dimensional superintegrable families. The Lotka-Volterra systems are in one-to-one correspondence with trees on $n$ vertices.
Submission history
From: Peter van der Kamp [view email][v1] Wed, 1 Mar 2023 04:42:50 GMT (11kb)
[v2] Thu, 13 Jul 2023 12:27:49 GMT (12kb)
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